165037824 has 216 divisors, whose sum is σ = 565452160. Its totient is φ = 47029248.

The previous prime is 165037823. The next prime is 165037883. The reversal of 165037824 is 428730561.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165037823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435267 + ... + 435645.

Almost surely, 2^165037824 is an apocalyptic number.

165037824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165037824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282726080).

165037824 is an abundant number, since it is smaller than the sum of its proper divisors (400414336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165037824 is an frugal number, since it uses more digits than its factorization.

165037824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 165037824 is about 12846.7047915020. The cubic root of 165037824 is about 548.5225626115.

The spelling of 165037824 in words is "one hundred sixty-five million, thirty-seven thousand, eight hundred twenty-four".